Question

I am stuck on a question and i don’t understand it, if i could get some help that would be great

Answer 1

In order to find the equation, let's use the slope-intercept form:

`y=mx+b`

Where m is the slope and b is the y-intercept.

Parallel lines have the same slope, so if the slope of the given line is 2/3, the slope of the wanted parallel line is m = 2/3.

Now, to find the value of b, let's use the point (-9, 3) in the equation:

`\begin{gathered} y=(2)/(3)x+b\\ \\ 3=(2)/(3)\cdot(-9)+b\\ \\ 3=-6+b\\ \\ b=3+6\\ \\ b=9 \end{gathered}`

So the wanted equation is:

`y=(2)/(3)x+9`